# L-moments, Trimmed L-moments, L-comoments, and Many Distributions

## Documentation for package `lmomco' version 0.92

## User Guides and Package Vignettes

Read overview or browse directory.

## Help Pages

A B C D F G H I L N P Q R T V Z

## -- A --

Apwm2BpwmRC | Conversion between A- and B-Type Probability-Weighted Moments for Right-Tail Censoring of An Appropriate Distribution
are.lmom.valid | Are the L-moments valid
are.par.valid | Are the Distribution Parameters Consistent with the Distribution
are.parcau.valid | Are the Distribution Parameters Consistent with the Cauchy Distribution
are.parexp.valid | Are the Distribution Parameters Consistent with the Exponential Distribution
are.pargam.valid | Are the Distribution Parameters Consistent with the Gamma Distribution
are.pargev.valid | Are the Distribution Parameters Consistent with the Generalized Extreme Value Distribution
are.pargld.valid | Are the Distribution Parameters Consistent with the Generalized Lambda Distribution
are.parglo.valid | Are the Distribution Parameters Consistent with the Generalized Logistic Distribution
are.pargno.valid | Are the Distribution Parameters Consistent with the Generalized Normal Distribution
are.pargpa.valid | Are the Distribution Parameters Consistent with the Generalized Pareto Distribution
are.pargum.valid | Are the Distribution Parameters Consistent with the Gumbel Distribution
are.parkap.valid | Are the Distribution Parameters Consistent with the Kappa Distribution
are.parnor.valid | Are the Distribution Parameters Consistent with the Normal Distribution
are.parpe3.valid | Are the Distribution Parameters Consistent with the Pearson Type III Distribution
are.parrevgum.valid | Are the Distribution Parameters Consistent with the Reverse Gumbel Distribution
are.parwak.valid | Are the Distribution Parameters Consistent with the Wakeby Distribution
are.parwei.valid | Are the Distribution Parameters Consistent with the Weibull Distribution

## -- B --

Bpwm2ApwmRC | Conversion between B- and A-Type Probability-Weighted Moments for Right-Tail Censoring of An Appropriate Distribution

## -- C --

cdfcau | Cumulative Distribution Function of the Cauchy Distribution
cdfexp | Cumulative Distribution Function of the Exponential Distribution
cdfgam | Cumulative Distribution Function of the Gamma Distribution
cdfgev | Cumulative Distribution Function of the Generalized Extreme Value Distribution
cdfgld | Cumulative Distribution Function of the Generalized Lambda Distribution
cdfglo | Cumulative Distribution Function of the Generalized Logistic Distribution
cdfgno | Cumulative Distribution Function of the Generalized Normal Distribution
cdfgpa | Cumulative Distribution Function of the Generalized Pareto Distribution
cdfgum | Cumulative Distribution Function of the Gumbel Distribution
cdfkap | Cumulative Distribution Function of the Kappa Distribution
cdfnor | Cumulative Distribution Function of the Normal Distribution
cdfpe3 | Cumulative Distribution Function of the Pearson Type III Distribution
cdfrevgum | Cumulative Distribution Function of the Reverse Gumbel Distribution
cdfwak | Cumulative Distribution Function of the Wakeby Distribution
cdfwei | Cumulative Distribution Function of the Weibull Distribution
check.fs | Check Vector of Nonexceedance Probabilities
check.pdf | Check and Potentially Graph Probability Density Functions

## -- D --

dist.list | List of Distribution Names

## -- F --

freq.curve.all | Compute Frequency Curve for All Distributions

## -- G --

gen.freq.curves | Plot Randomly Generated Frequency Curves from a Parent Distribution
genci | Generate Confidence Intervals for Quantiles of a Parent Distribution

## -- H --

harmonic.mean | The Harmonic Mean with Zero-Value Correction

## -- I --

is.cau | Is a Distribution Parameter Object Typed as Cauchy
is.exp | Is a Distribution Parameter Object Typed as Exponential
is.gam | Is a Distribution Parameter Object Typed as Gamma
is.gev | Is a Distribution Parameter Object Typed as Generalized Extreme Value
is.gld | Is a Distribution Parameter Object Typed as Generalized Lambda
is.glo | Is a Distribution Parameter Object Typed as Generalized Logistic
is.gno | Is a Distribution Parameter Object Typed as Generalized Normal
is.gpa | Is a Distribution Parameter Object Typed as Generalized Pareto
is.gum | Is a Distribution Parameter Object Typed as Gumbel
is.kap | Is a Distribution Parameter Object Typed as Kappa
is.nor | Is a Distribution Parameter Object Typed as Normal
is.pe3 | Is a Distribution Parameter Object Typed as Pearson Type III
is.revgum | Is a Distribution Parameter Object Typed as Reverse Gumbel
is.wak | Is a Distribution Parameter Object Typed as Wakeby
is.wei | Is a Distribution Parameter Object Typed as Weibull

## -- L --

Lcomoment.coefficients | L-comoment Coefficient Matrix
Lcomoment.correlation | L-correlation Matrix (L-correlation through Sample L-comoments)
Lcomoment.Lk12 | Compute a Single Sample L-comoment
Lcomoment.matrix | Compute Sample L-comoment Matrix
Lcomoment.Wk | Weighting Coefficient for Sample L-comoment
lmom.diff | Difference Between L-moments of the Distribution and the L-moments of the Data
lmom.references | Useful References Related to L-moments
lmom.test.all | Test All lmom.CCC.test Functions
lmom.test.exp | Test L-moment and Parameter Algorithms of the Exponential Distribution
lmom.test.gam | Test L-moment and Parameter Algorithms of the Gamma Distribution
lmom.test.gev | Test L-moment and Parameter Algorithms of the Generalized Extreme Value Distribution
lmom.test.glo | Test L-moment and Parameter Algorithms of the Generalized Logistic Distribution
lmom.test.gno | Test L-moment and Parameter Algorithms of the Generalized Normal Distribution
lmom.test.gpa | Test L-moment and Parameter Algorithms of the Generalized Pareto Distribution
lmom.test.gum | Test L-moment and Parameter Algorithms of the Gumbel Distribution
lmom.test.kap | Test L-moment and Parameter Algorithms of the Kappa Distribution
lmom.test.nor | Test L-moment and Parameter Algorithms of the Normal Distribution
lmom.test.pe3 | Test L-moment and Parameter Algorithms of the Pearson Type III Distribution
lmom.test.revgum | Test L-moment and Parameter Algorithms of the Reverse Gumbel Distribution
lmom.test.wak | Test L-moment and Parameter Algorithms of the Wakeby Distribution
lmom.test.wei | Test L-moment and Parameter Algorithms of the Weibull Distribution
lmom.ub | Unbiased Sample L-moments by Direct Sample Estimators
lmom2par | Convert L-moments to the the Parameters of a Distribution
lmom2pwm | L-moments to Probability-Weighted Moments
lmom2vec | Convert an L-moment object to a Vector of L-moments
lmomcau | Trimmed L-moments of the Cauchy Distribution
lmomexp | L-moments of the Exponential Distribution
lmomgam | L-moments of the Gamma Distribution
lmomgev | L-moments of the Generalized Extreme Value Distribution
lmomgld | L-moments of the Generalized Lambda Distribution
lmomglo | L-moments of the Generalized Logistic Distribution
lmomgno | L-moments of the Generalized Normal Distribution
lmomgpa | L-moments of the Generalized Pareto Distribution
lmomgpaRC | B-type L-moments of the Generalized Pareto Distribution with Right-Tail Censoring
lmomgum | L-moments of the Gumbel Distribution
lmomkap | L-moments of the Kappa Distribution
lmomnor | L-moments of the Normal Distribution
lmompe3 | L-moments of the Pearson Type III Distribution
lmomrevgum | L-moments of the Reverse Gumbel Distribution
lmoms | The Sample L-moments and L-moment Ratios
lmomTLgld | Trimmed L-moments (t=1) of the Generalized Lambda Distribution
lmomTLgpa | Trimmed L-moments of the Generalized Pareto Distribution
lmomwak | L-moments of the Wakeby Distribution
lmomwei | L-moments of the Weibull Distribution
lmorph | Morph an L-moment Object
lmrdia | L-moment Ratio Diagram Components

## -- N --

nonexceeds | Common Nonexceedance Probabilities

## -- P --

par2cdf | Cumulative Distribution Function of the Distributions
par2cdf2 | Equivalent Cumulative Distribution Function of Two Distributions
par2lmom | Convert the Parameters of a Distribution to the L-moments
par2pdf | Probability Density Function of the Distributions
par2qua | Quantile Function of the Distributions
par2qua2 | Equivalent Quantile Function of Two Distributions
parcau | Estimate the Parameters of the Cauchy Distribution
parexp | Estimate the Parameters of the Exponential Distribution
pargam | Estimate the Parameters of the Gamma Distribution
pargev | Estimate the Parameters of the Generalized Extreme Value Distribution
pargld | Estimate the Parameters of the Generalized Lambda Distribution
parglo | Estimate the Parameters of the Generalized Logistic Distribution
pargno | Estimate the Parameters of the Generalized Normal Distribution
pargpa | Estimate the Parameters of the Generalized Pareto Distribution
pargpaRC | Estimate the Parameters of the Generalized Pareto Distribution with Right-Tail Censoring
pargum | Estimate the Parameters of the Gumbel Distribution
parkap | Estimate the Parameters of the Kappa Distribution
parnor | Estimate the Parameters of the Normal Distribution
parpe3 | Estimate the Parameters of the Pearson Type III Distribution
parrevgum | Estimate the Parameters of the Reverse Gumbel Distribution
parTLgld | Estimate the Parameters of the Generalized Lambda Distribution using Trimmed L-moments (t=1)
parTLgpa | Estimate the Parameters of the Generalized Pareto Distribution using Trimmed L-moments
parwak | Estimate the Parameters of the Wakeby Distribution
parwei | Estimate the Parameters of the Weibull Distribution
pdfcau | Probability Density Function of the Cauchy Distribution
pdfexp | Probability Density Function of the Exponential Distribution
pdfgam | Probability Density Function of the Gamma Distribution
pdfgev | Probability Density Function of the Generalized Extreme Value Distribution
pdfgld | Probability Density Function of the Generalized Lambda Distribution
pdfglo | Probability Density Function of the Generalized Logistic Distribution
pdfgno | Probability Density Function of the Generalized Normal Distribution
pdfgpa | Probability Density Function of the Generalized Pareto Distribution
pdfgum | Probability Density Function of the Gumbel Distribution
pdfkap | Probability Density Function of the Kappa Distribution
pdfnor | Probability Density Function of the Normal Distribution
pdfpe3 | Probability Density Function of the Pearson Type III Distribution
pdfrevgum | Probability Density Function of the Reverse Gumbel Distribution
pdfwak | Probability Density Function of the Wakeby Distribution
pdfwei | Probability Density Function of the Weibull Distribution
plmomco | Cumulative Distribution Function of the Distributions
plotlmrdia | Plot L-moment Ratio Diagram
pmoms | The Sample Product Moments: Mean, Standard Deviation, Skew, and Excess Kurtosis
pp | Plotting-Position Formula
prob2T | Convert a Vector of Annual Nonexceedance Probabilities to T-year Return Periods
pwm | Unbiased Sample Probability-Weighted Moments
pwm.gev | Generalized Extreme Value Plotting-Position Probability-Weighted Moments
pwm.pp | Plotting-Position Sample Probability-Weighted Moments
pwm.ub | Unbiased Sample Probability-Weighted Moments
pwm2lmom | Probability-Weighted Moments to L-moments
pwmRC | Sample Probability-Weighted Moments for Right-Tail Censoring

## -- Q --

qlmomco | Quantile Function of the Distributions
qua.ostat | Compute the Quantiles of the Distribution of an Order Statistic
qua2ci | Estimate Confidence Interval for a Single Quantile of a Parent Distribution
quacau | Quantile Function of the Cauchy Distribution
quaexp | Quantile Function of the Exponential Distribution
quagam | Quantile Function of the Gamma Distribution
quagev | Quantile Function of the Generalized Extreme Value Distribution
quagld | Quantile Function of the Generalized Lambda Distribution
quaglo | Quantile Function of the Generalized Logistic Distribution
quagno | Quantile Function of the Generalized Normal Distribution
quagpa | Quantile Function of the Generalized Pareto Distribution
quagum | Quantile Function of the Gumbel Distribution
quakap | Quantile Function of the Kappa Distribution
quanor | Quantile Function of the Normal Distribution
quape3 | Quantile Function of the Pearson Type III Distribution
quarevgum | Quantile Function of the Reverse Gumbel Distribution
quawak | Quantile Function of the Wakeby Distribution
quawei | Quantile Function of the Weibull Distribution

## -- R --

rlmomco | Random Deviates of a Distribution

## -- T --

T2prob | Convert a Vector of T-year Return Periods to Annual Nonexceedance Probabilities
theoLmoms | The Theoretical L-moments and L-moment Ratios using Integration of the Quantile Function
theoTLmoms | The Theoretical Trimmed L-moments and TL-moment Ratios using Integration of the Quantile Function
TLmom | A Sample Trimmed L-moment
TLmoms | The Sample Trimmed L-moments and L-moment Ratios

## -- V --

vec2lmom | Convert a Vector of L-moments to a L-moment Object
vec2par | Convert a Vector of Parameters to a Parameter Object of a Distribution
vec2pwm | Convert a Vector of Probability-Weighted Moments to a Probability-Weighted Moments Object
vec2TLmom | Convert a Vector of TL-moments to a TL-moment Object

## -- Z --

z.par2cdf | Cumulative Distribution Function of Blipped Distributions
z.par2qua | Quantile Function of the Blipped Distributions